3729823272288 has 288 divisors, whose sum is σ = 10963039258080. Its totient is φ = 1202266644480.

The previous prime is 3729823272277. The next prime is 3729823272311. The reversal of 3729823272288 is 8822723289273.

It is a happy number.

3729823272288 is a `hidden beast` number, since 3 + 7 + 2 + 9 + 82 + 3 + 272 + 288 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 655617348 + ... + 655623036.

It is an arithmetic number, because the mean of its divisors is an integer number (38066108535).

Almost surely, 2^{3729823272288} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3729823272288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5481519629040).

3729823272288 is an abundant number, since it is smaller than the sum of its proper divisors (7233215985792).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3729823272288 is a wasteful number, since it uses less digits than its factorization.

3729823272288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6390 (or 6379 counting only the distinct ones).

The product of its digits is 65028096, while the sum is 63.

The spelling of 3729823272288 in words is "three trillion, seven hundred twenty-nine billion, eight hundred twenty-three million, two hundred seventy-two thousand, two hundred eighty-eight".